Free Sainik RMS maths solved papers

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Basic Aptitude test for class VI entrance Sainik school Maths
Time:  1 hour               Max marks 50 * 2 marks each question       Pass marks 60

Name of the candidate:____________________________  date of Birth__________________ 
Class__________ studying.  Name of the school_____________________________________
IQ Tested_____________________   Date of exam____________________________________
Place and time tested___________________________________________ Percentage scored_____

Numeration;
1. What is the difference between the greatest 4 digit number and the least three digit number?
2. Write the following in Roman numerals 49 and 99
Unitary method
3. Find the cost of 7 pens if 2 dozen pens cost Rs.84.
LCM and HCF
4. LCF. Find the LCM of  8, 15, 20
5. Find the HCF of  8, 12, 20
Fractions:
6. What is the 2/7 of 126
Average
7. Find the average of the first Five prime numbers
Percentage
8. what is 22 ½ % fo Rs 800 ?
Simple Interest
9. Find the SI on Rs.800, invested for 8 years at the rate of 7.5 % SI
Time and distance
10. If an aircraft travels at the speed of 300 m/s then its speed in kmph is____
Ratio and proportion
11. If Rs. 7500 is divided between A and B in the Ration of 2 : 3 what would be the share of each?
Geometry:
12. A straight line has no _____ point and _____ points. Where as a Ray  has_____ start point and ___ end points.
13. 105 degree is _____ angle
Area and Perimeter
14. Find the area and perimeter of a rectangle whose L is 20 m and breadth is 12 m
15. Find the side of a square whose area is 62 sq. m
Volume
16. Find the volume of a cuboid whose measurements are Length 10 m, breadth is 8 m and height is 2 m,
Conversions
17. convert 2 days 12 hours into minutes
Triangle
18 .A right angle triangle has its greatest angle as_______Degrees
Temperature
19. Convert t 100 degree C into Fahrenheit.
20 convert 98. 4 Degrees into C
Work and Time
21. If 4 men take 24 days to complete a job, how long will 3 men take to complete the same job?
Simplification:
22. Simplify: 8 ½ + 6 ¾ + 4 ¼ -  2. ¼= ?
23. Write the full form of BODMAS.
 Commercial maths Billing
24.What would be the cost of 3 kg of sugar ant Rs.32 per kg and 4 kg of Rice and rd. 30.50 per kg?
Common sense question.
25 How many months in a leap year will have 29 days?



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Answers:
1
9999-100= 9899
2
Roman Numerals49 = XLIX. AND XCIX = XC + IX = 90 + 9 = 99.
3
84/24 *7 = Rs 24.5
4
The LCM of 8,15,20 8 , 15 , 20is 22235=120 2 2 2 3 5 = 120 
5
4
6
36
7
First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average
formula is = Sum/no. = (2 + 3 + 5 + 7 +11)/5 = 5.6.
8
180
9
(800x7/5 x8)  / 100 = Rs. 480`
10
300x3600 /1000 = 108p km/ hr
11
7500/ 5 = 1500hence A gets Rs.1500x 2 = Rs.3000 and B gets Rs.1500 x 3 = Rs.4500
12
Nil and One and Nil
13
105 degree is an obtuse angle
14
Area = L x B, 20 x12 = 2400 sq.m, Perimeter is 2 ( L+B) = 2 ( 20+12 ) 2x 32= 64m
15
Under root of Square of the area gives side ( side x side = Area)   Ö625  = Ö25 x 25
Hence side  of the square is 25 m
16
Volume of a cuboid is L x B x H = 10 x 8 x 2 =160 cubic m
17
2 x 24 + 12  = 36 hours 36 x 60 = 2160 minutes
18
90 degrees
19
212 degrees
20
(98.4°F − 32) × 5/9 = 36.889°C
21
32 days
22
22
23
BODMAS ( Bracket, Of, Division, Multiplication, Addition and Subtraction
24
32 x3 = 96 + 30.50 x 4 = 122 = Rs.218
25
All months


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